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Finding the Third Proportional to 13,708,261 and 30,106,532

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Solution

The third proportional to 13,708,261 and 30,106,532 is: 66,120,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708,261 : 30,106,532 = 30,106,532 : x
  2. Step 2: Convert to fraction form
    13,708,261/30,106,532 = 30,106,532/x
  3. Step 3: Cross multiply
    13,708,261x = 30,106,532 × 30,106,532
  4. Step 4: Simplify right side
    13,708,261x = 906,403,269,067,024
  5. Step 5: Solve for x
    x = 906,403,269,067,024/13,708,261
  6. Step 6: Final answer
    x = 66,120,952.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.